10214361651132 has 144 divisors (see below), whose sum is σ = 27542352015360. Its totient is φ = 3184788816000.

The previous prime is 10214361651049. The next prime is 10214361651157. The reversal of 10214361651132 is 23115616341201.

10214361651132 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 3 + 616 + 5 + 1 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8783382 + ... + 9878082.

It is an arithmetic number, because the mean of its divisors is an integer number (191266333440).

Almost surely, 2^{10214361651132} is an apocalyptic number.

10214361651132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10214361651132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13771176007680).

10214361651132 is an abundant number, since it is smaller than the sum of its proper divisors (17327990364228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10214361651132 is a wasteful number, since it uses less digits than its factorization.

10214361651132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094984 (or 1094979 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 10214361651132 its reverse (23115616341201), we get a palindrome (33329977992333).

The spelling of 10214361651132 in words is "ten trillion, two hundred fourteen billion, three hundred sixty-one million, six hundred fifty-one thousand, one hundred thirty-two".